Question

Daniel and Hector both throw shot put for their school's track and field team.

They each threw 5 times and recorded their distances to the nearest foot.
Daniel's Shot Put Throws (feet)
27, 30, 34, 35, 34
Hector's Shot Put Throws (feet)
38, 24, 38, 40, 35
Who has the greater mean, and by how much?
А Daniel by 3 feet
B Hector by 3 feet
С Daniel by 6 feet
D Hector by 6 feet

Answer 1

Option B : Hector by 3 feet is the correct answer.

Explanation:

Given that:

Mean of Daniel =
`(Sum\ of\ quantities)/(Number\ of\ quantities)`

Mean of Daniel =
`(27+30+34+35+34)/(5) = (160)/(5)`

Mean of Daniel = 32 feet

Mean of Hector =
`(38+24+38+40+35)/(5) = (175)/(5)`

Mean of Hector = 35 feet

Therefore,

Hector has a greater mean

Difference = Hector's Mean - Daniel's Mean

Difference = 35 - 32

Difference = 3 feet

Hence,

Option B : Hector by 3 feet is the correct answer.